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Finding the Third Proportional to 193,623.75 and 284,087.25

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Solution

The third proportional to 193,623.75 and 284,087.25 is: 416,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,623.75 : 284,087.25 = 284,087.25 : x
  2. Step 2: Convert to fraction form
    193,623.75/284,087.25 = 284,087.25/x
  3. Step 3: Cross multiply
    193,623.75x = 284,087.25 × 284,087.25
  4. Step 4: Simplify right side
    193,623.75x = 80,705,565,612.56
  5. Step 5: Solve for x
    x = 80,705,565,612.56/193,623.75
  6. Step 6: Final answer
    x = 416,816.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.